Q. 163.8( 11 Votes )
Let f be a functi
Since, f’(x) > 0 on (a,b)
Then, f is a differentiating function (a,b)
Also, every differentiable function is continuous,
Therefore, f is continuous on [a,b]
Let x1, x2 ϵ (a,b) and x2 > x1 then by LMV theorem, there exists c ϵ (a,b) s.t.
Therefore, f is an increasing function.
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